| Title:
|
Global domination and neighborhood numbers in Boolean function graph of a graph (English) |
| Author:
|
Janakiraman, T. N. |
| Author:
|
Muthammai, S. |
| Author:
|
Bhanumathi, M. |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
130 |
| Issue:
|
3 |
| Year:
|
2005 |
| Pages:
|
231-246 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
For any graph $G$, let $V(G)$ and $E(G)$ denote the vertex set and the edge set of $G$ respectively. The Boolean function graph $B(G, L(G), \mathop {\mathrm NINC})$ of $G$ is a graph with vertex set $V(G)\cup E(G)$ and two vertices in $B(G, L(G), \mathop {\mathrm NINC})$ are adjacent if and only if they correspond to two adjacent vertices of $G$, two adjacent edges of $G$ or to a vertex and an edge not incident to it in $G$. In this paper, global domination number, total global domination number, global point-set domination number and neighborhood number for this graph are obtained. (English) |
| Keyword:
|
Boolean function graph |
| Keyword:
|
global domination number |
| Keyword:
|
neighborhood number |
| MSC:
|
05C15 |
| MSC:
|
05C69 |
| idZBL:
|
Zbl 1111.05075 |
| idMR:
|
MR2164654 |
| DOI:
|
10.21136/MB.2005.134094 |
| . |
| Date available:
|
2009-09-24T22:20:40Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/134094 |
| . |
| Reference:
|
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| . |
